Sentence examples for two equality from inspiring English sources

We establish two equality indices that score, on a unit-interval scale, the intrinsic 'egalitarianism' of size distributions: (i) the poverty equality index which is particularly sensitive to the existence of very small "poor" sizes; (ii) the riches equality index which is particularly sensitive to the existence of very large "rich" sizes.

If we think of a type as a special kind of set, it is natural to conjecture that such a type of equality proofs is always inhabited for any two equality proofs p and q.

Further, in accordance with (2.1.21) in [4] and Lemma 2.4, the second term on the left side of the previous two equalities are equal to ({0}).

Well, we just add these two equalities together.

Furthermore, continues the argument, the two equalities, of opportunity and of outcome, are inextricably linked.

Combining the last two equalities yields the desired equality.

Hence, by the above two equalities, one has (4.15).

Combining the above two equalities yields the result.

Comparing the above two equalities, we get (3.11).

and the two equalities above cannot hold simultaneously.

With these two equalities, (19) can be solved by optimizing the parameter δ only.